INHERITANCE OF KDV SYMMETRIES UNDER WHITHAM AVERAGING AND HYDRODYNAMIC SYMMETRIES OF THE WHITHAM EQUATIONS

被引：17
|
作者：
KUDASHEV, VR
SHARAPOV, SE
机构：
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 1991年 / 87卷 / 01期
关键词：
D O I：
10.1007/BF01016574
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Explicit expressions that demonstrate the inheritance of some symmetries of the KdV equations by the Whitham equations for cnoidal KdV waves are obtained. A class of symmetries of Whitham equations of special form is found and described. Explicit expressions that describe a series of self-similar solutions of Whitham equations are obtained.
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页码：358 / 363
页数：6
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